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Simplifying 7(w + -4) + -4w = -7 Reorder the terms: 7(-4 + w) + -4w = -7 (-4 * 7 + w * 7) + -4w = -7 (-28 + 7w) + -4w = -7 Combine like terms: 7w + -4w = 3w -28 + 3w = -7 Solving -28 + 3w = -7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 3w = -7 + 28 Combine like terms: -28 + 28 = 0 0 + 3w = -7 + 28 3w = -7 + 28 Combine like terms: -7 + 28 = 21 3w = 21 Divide each side by '3'. w = 7 Simplifying w = 7
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